The Differential Quadrature Solution of Reaction-Diffusion Equation Using Explicit and Implicit Numerical Schemes

Faculty Engineering Year: 2014
Type of Publication: ZU Hosted Pages: 327-336
Authors:
Mohamed Salaheldin Mohamed Mohamed Ali
Journal: Applied Mathematics AM Scientific Research Volume: 5
Keywords : , Differential Quadrature Solution , Reaction-Diffusion Equation Using    
Abstract:
In this paper, two different numerical schemes, namely the Runge-Kutta fourth order method and the implicit Euler method with perturbation method of the second degree, are applied to solve the nonlinear thermal wave in one and two dimension
    
     
 
       

Author Related Publications

  • Mohamed Salaheldin Mohamed Mohamed Ali, "Analysis Of Reaction Diffusion Problems Using Differential Quadrature Method", International Journals of Engineering & Sciences, 2013 More
  • Mohamed Salaheldin Mohamed Mohamed Ali, "An Efficient Method to Solve Thermal Wave Equation", Scientific Research, 2014 More
  • Mohamed Salaheldin Mohamed Mohamed Ali, "Modeling and Solution of Reaction–Diffusion Equations by Using the Quadrature and Singular Convolution Methods", 3, 2022 More
  • Mohamed Salaheldin Mohamed Mohamed Ali, "Efficient discrete singular convolution differential quadrature algorithm for solitary wave solutions for higher dimensions in shallow water waves", Taylor & Francis, 2022 More
  • Mohamed Salaheldin Mohamed Mohamed Ali, "Distinctive Shape Functions of Fractional Differential Quadrature for Solving Two-Dimensional Space Fractional Diffusion Problems", MDPI, 2023 More

Department Related Publications

  • Ola Ragab Abdou Mohamed, "Analysis of Composite Plates Using Moving Least Squares Differential Quadrature Method", Science Direct, 2014 More
  • Ola Ragab Abdou Mohamed, "Efficient Quadrature Solution for Composite Plate Problems", medwelljournals, 2014 More
  • Rasha Ibrahiem Saleh Mohamed, "Generalized extended method for solution of nonlinear diffusion equations", مجلة الهندسة والعلوم التطبيقية, 2014 More
  • Mohamed Mohamed Ali Mohamed Saied, "Three Resultant Applications In Surface Modeling For Computer Graphics", Second National Conference of Mathematics, Cairo 6-11 April 1996, 1996 More
  • Magda Mahmoud Mohamed Kasem, "Similarity Analysis of Mass and Heat Transfer of FHD Steady Flow of Nanofluid Incorporating Magnetite Nanoparticles (Fe3O4)", East African Scholars Publisher, Kenya, 2020 More
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